Publication Type : Journal Article
Publisher : Springer Science and Business Media LLC
Source : Periodica Mathematica Hungarica
Url : https://doi.org/10.1007/s10998-026-00727-8
Campus : Chennai
School : School of Engineering
Year : 2026
Abstract : In this paper, we prove a necessary and sufficient condition for Lucas–Carmichael integers in terms of the sum of base-p digits and study several properties of such integers. We also derive some general forms for Lucas–Carmichael integers with an odd number of prime factors. Assuming the Prime k-tuples Conjecture, we prove that each such general form gives infinitely many distinct Lucas–Carmichael integers.
Cite this Research Publication : Sridhar Tamilvanan, Subramani Muthukrishnan, A new characterization of Lucas–Carmichael integers and sums of base-p digits, Periodica Mathematica Hungarica, Springer Science and Business Media LLC, 2026, https://doi.org/10.1007/s10998-026-00727-8